Finding the Fourth Proportional to 309,049,348,272.20, 463,574,022,408.30 and 297,294,723,657.80
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Solution
The fourth proportional to 309,049,348,272.20, 463,574,022,408.30 and 297,294,723,657.80 is: 445,942,085,486.70
Step by Step Solution
- Step 1: Write the proportion equation
309,049,348,272.20 : 463,574,022,408.30 = 297,294,723,657.80 : x - Step 2: Convert to fraction form
309,049,348,272.20/463,574,022,408.30 = 297,294,723,657.80/x - Step 3: Cross multiply
309,049,348,272.20x = 463,574,022,408.30 × 297,294,723,657.80 - Step 4: Simplify right side
309,049,348,272.20x = 137,818,110,886,810,327,449,600 - Step 5: Solve for x
x = 137,818,110,886,810,327,449,600/309,049,348,272.20 - Step 6: Final answer
x = 445,942,085,486.70
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.